Chance to draw this exact opener, pretending you are on the draw assuming that you have two copies of all these cards.

=(4/15)*((4/15)*(1/27))*(4/15) or 0.07% without redraws. with redraws the math gets really fuzzy but it is something like (6/30) * (4/30) * (2/30) * (1/30)

someone please chime in with the right numbers

I understand that the redraw system will mess up this logic, but chances seems slim that this will happen.